An isotactic 1-butene copolymer having a content up to 30% by mol of at least one alpha-olefin of formula CH2═CHZ derived units, wherein Z is a C3-C20 hydrocarbon group, having the following features:isotactic pentads (mmmm) >90%; anda percentage of soluble fraction in diethylether (% SD) and a molar content of said alpha olefins (% O) in the polymer chain meeting the following relation:% SD>2.8% O+8.